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Lesson 26: finding roots graphically, J ly c±d ©x o 4, X (zd 2 – HP 48G User Manual

Page 79

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Lesson 26: Finding Roots Graphically

In Lesson 17, yon found all of the roots of a polynomial using the

SOLVE application.

This lesson shows you how to

use the

special

analytic tools

in

the

PICTURE environment to find

the roots

of

a

function

v i s u a l l y

as well as search for other information about a

function.

Example:

Plot the function,

— 5A'^ — 2A'“ + A' — 4, and

find its real roots.

S t e p 1 :

Begin the PLOT application and reset, the plot display

options.

FÍES

® @ F (T) flCT

(B OK

PLDT®

TVPE:

INDEP:

X

H-VIEW:-6.5

6.5

_ftUTDSClHLE V-VIEH:-3. 1 3.2

ENTER FUNCTinH(s:i TD PLOT______

S t e p 2 :

Enter the function.

C

l

J ly C±D ©X O 4

® 0 -5 ©"^ (zD 3 ® 0 2

©X (ZD 2

© © ©X

Q

4

(ENTER 1

plot

;

TYPE: Function Rad

INDEP:

X

H-VIEW:-6.5

6.5

_flUTDiCRLE V-VIEW:-3.1 3.2

ENTER FUNCTIDH(S) TO PLOT_______

■naiiiPrriliUi—iiiJHiNiTiHgiaailBi

S t e p

S :

Erase

the

"blackboard” (the PICTURE display) and

draw

the function.

I

HiiiisiBBnl

Bin

Plotting Equations and Analyzing Graphs 6-13